Output Tracking of High-Order Stochastic Nonlinear Systems with Application to Benchmark Mechanical System

• Published in: IEEE transactions on automatic control Vol. 55; no. 5; pp. 1197 - 1202
• Main Authors: Xie, Xue-Jun, Duan, Na
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-05-2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Automation; Backstepping; Benchmark mechanical system; Benchmarking; Computer science; control theory; systems; Control systems; Control theory. Systems; Dynamical systems; Educational institutions; Error signals; Exact sciences and technology; Extraterrestrial measurements; high-order stochastic nonlinear systems; Mechanical systems; Modelling and identification; Nonlinear dynamics; Nonlinear systems; output tracking; Reference signals; Signal design; Signal processing; Stochastic systems; Stochasticity; Tracking; State feedback; Error probability; Probabilistic approach; Non linear control; Feedback regulation; Output signal; Non linear system; Recursive algorithm; Bounded solution; Backstepping control; Uncertain system; Model reference adaptive control systems; Mechanical system; output tracking; System identification; high-order stochastic nonlinear systems; Non deterministic system; Benchmark mechanical system; Lyapunov function
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2010.2043004

This note considers output tracking of high-order stochastic nonlinear systems without imposing any restriction on the high-order and the drift and diffusion terms. By using the backstepping design technique, a smooth state-feedback controller is given to guarantee that the solution process is bounded in probability and the error signal between the output and the reference signal can be regulated into a small neighborhood of the origin in probability. A practical example of stochastic benchmark mechanical system and simulation are provided to demonstrate the effectiveness of the control scheme.